When the body moves along the X-axis, the coordinate of the body changes according

When the body moves along the X-axis, the coordinate of the body changes according to the law x = 5 + 10t-t². Body speed after 5 seconds is …

Given:

x (t) = 5 + 10 * t – t ^ 2 – the equation of body motion;

t = 5 seconds – time span.

It is required to determine v (meter per second) – the speed of the body after a time interval t.

Let us find the dependence of the body’s velocity on time by fulfilling the derivative of the first degree of the equation of motion:

v (t) = x (t) ’= (5 + 10 * t – t ^ 2)’ = 10 – 2 * t.

Then the speed of the body will be equal to:

v = 10 – 2 * t = 10 – 2 * 5 = 10 – 10 = 0 m / s.

Answer: after 5 seconds, the speed of the body will be equal to 0 m / s